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Finding the Fourth Proportional to 1,795.78, 2,693.72 and 497.26

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Solution

The fourth proportional to 1,795.78, 2,693.72 and 497.26 is: 745.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,795.78 : 2,693.72 = 497.26 : x
  2. Step 2: Convert to fraction form
    1,795.78/2,693.72 = 497.26/x
  3. Step 3: Cross multiply
    1,795.78x = 2,693.72 × 497.26
  4. Step 4: Simplify right side
    1,795.78x = 1,339,485.94
  5. Step 5: Solve for x
    x = 1,339,485.94/1,795.78
  6. Step 6: Final answer
    x = 745.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.